Criptografia usando curvas hiperelípticas

In this work we present some properties of the hyperelliptical curves and their Jacobians, aiming at the implementation of criptossystems of public key. Also we show the algorithm of Cantor to add points in the Jacobian manifold, which is important for the effectiveness of criptossystems, and an alg...

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Bibliographic Details
Main Author: Alonso Sepúlveda Castellanos
Format: Article
Language:Spanish
Published: Universidad Industrial de Santander 2006-01-01
Series:Revista Integración
Online Access:http://www.redalyc.org/articulo.oa?id=327028430004
Description
Summary:In this work we present some properties of the hyperelliptical curves and their Jacobians, aiming at the implementation of criptossystems of public key. Also we show the algorithm of Cantor to add points in the Jacobian manifold, which is important for the effectiveness of criptossystems, and an algorithm to attack the problem of the discrete logarithms on these groups. The untractability of this problem is essential for the security of criptossystems.
ISSN:0120-419X
2145-8472